Question

How do you divide `(4x^2-3x+9)/(x+4)`?

Answer 1

A different presentation style

`(4x^2-3x+9)/(x+4)" "=" "4x-3+5/(x+4)`

Explanation:

`" "color(blue)(4x^2-3x+9)`
`color(magenta)(4x)(x+4)->" "ul(4x^2+16x)" "larr" Subtract"`
`" " 0-19x`
`ul(color(magenta)(-19)(x+4)->" "-19x-76" "larr" Subtract"`
`"Remainder "->" "0-76`

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`(4x^2-3x+9)/(x+4)" "=" "4x-19-76/(x+4)`